Solving Quadratic Equations Completing the Square

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}

• {4 and -4}

• {5 and -3}

• {8 and -7}

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON

• 8

• 64

• 16

• 4

• 256

Solve: x² - 2x = 3

(just give the POSITIVE answer)

Mathematical Equivalence

OFF

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Solve: x² + 14x = 51

(just give the NEGATIVE answer)

Mathematical Equivalence

OFF